Strong Isospin Mixing Effects on the Extraction of $ΔI=3/2$ Non-Leptonic Hyperon Decay Amplitudes

Details Strong Isospin Mixing Effects on the Extraction of $ΔI=3/2$ Non-Leptonic Hyperon Decay Amplitudes Strong Isospin Mixing Effects on the Extraction of $ΔI=3/2$ Non-Leptonic Hyperon Decay Amplitudes

1995-04-07

arxiv.org/abs/hep-ph/9504253v1

Phys.Lett. B345 (1995) 541-546

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, Plain TEX Entire manuscript available as a ps file at http://www.physics.adelaide.edu.au/theory/home.html Also avail

Scientific paper

10.1016/0370-2693(94)01601-8

The existence of isospin admixtures in the physical $\Lambda$, $\pi^o$ complicates the extraction of Delta I=3/2 non-leptonic hyperon decay amplitudes from experimental data, allowing contributions associated with large Delta I=1/2 amplitudes to appear in the (nominally) Delta I=3/2 amplitudes obtained ignoring these admixtures. We show how to correct for this effect to leading order in $(m_d-m_u)$ and extract the true Delta I=3/2 amplitudes. The resulting corrections are modest ($<25\%$) for s-waves, but extremely large, $\simeq 100\%$ and $\simeq 400\%$ for $\Lambda$ and $\Xi$ p-waves, respectively.

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